Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 95-101
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Theorems on the localization of exact solutions are proved for a quasilinear mathematical model describing quasi-periodic processes. Based on these theorems, constructive algorithms are proposed for calculating quasi-periodic solutions with guaranteed accuracy. Quasi-periodic motions play an important role in engineering and physics, where they often represent determining states. Quasi-periodic motions can be found in many ecological, biological, and economic processes.
@article{ZVMMF_2006_46_1_a9,
author = {Kh. I. Botashev},
title = {Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {95--101},
publisher = {mathdoc},
volume = {46},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a9/}
}
TY - JOUR AU - Kh. I. Botashev TI - Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2006 SP - 95 EP - 101 VL - 46 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a9/ LA - ru ID - ZVMMF_2006_46_1_a9 ER -
%0 Journal Article %A Kh. I. Botashev %T Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2006 %P 95-101 %V 46 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a9/ %G ru %F ZVMMF_2006_46_1_a9
Kh. I. Botashev. Construction of quasi-periodic solutions of guaranteed accuracy by the small parameter method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 95-101. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a9/